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Finding the Third Proportional to 164,610 and 240,642

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Solution

The third proportional to 164,610 and 240,642 is: 351,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,610 : 240,642 = 240,642 : x
  2. Step 2: Convert to fraction form
    164,610/240,642 = 240,642/x
  3. Step 3: Cross multiply
    164,610x = 240,642 × 240,642
  4. Step 4: Simplify right side
    164,610x = 57,908,572,164
  5. Step 5: Solve for x
    x = 57,908,572,164/164,610
  6. Step 6: Final answer
    x = 351,792.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.